By Dr Isaac Towers

Journal articles

Elyutin PV; Buryak AV; Gubernov V; Sammut RA; Towers I, 2001, 'Interaction of two one-dimensional Bose-Einstein solitons: Chaos and energy exchange', Physical Review E, 64, pp. 1 - 9, http://dx.doi.org/10.1103/PhysRevE.64.016607

Towers I; Buryak AV; Sammut RA; Malomed BA; Crasovan L; Mihalache D, 2001, 'Stability of spinning ring solitons of the cubic-quintic nonlinear Schrodinger equation', Physics Letters, Section A, 288, pp. 292 - 298, http://dx.doi.org/10.1016/S0375-9601(01)00565-5

Towers I; Buryak AV; Sammut RA; Malomed BA, 2001, 'Stable localized vortex solitons', Physical Review E, 63, pp. 1 - 4, http://dx.doi.org/10.1103/physreve.63.055601

Buryak AV; Towers I; Trillo S, 2000, 'Multistability, homoclinic clamping, and chaos in nonlinear quadratic distributied feedback systems', Physics Letters, Section A, pp. 319 - 325

Towers I; Buryak AV; Sammut RA; Malomed BA, 2000, 'Quadratic solitons resulting from double-resonance wave mixing', Journal of the Optical Society of America B - Optical Physics, 17, pp. 2018 - 2025

Towers I; Sammut RA; Buryak AV; Malomed BA, 1999, 'Soliton multistability as a result of double-resonance wave mixing in x(2) media', Optics Letters, 24, pp. 1738 - 1740, https://www.ncbi.nlm.nih.gov/pubmed/18079920

Conference Papers

Jovanoski Z; Sharples J; Sidhu H; Towers I, 2019, 'Stochastic model for the ROS in a heterogeneous environment', in El Sawah, S. (ed.) MODSIM2019, 23rd International Congress on Modelling and Simulation., Modelling and Simulation Society of Australia and New Zealand, Canberra ACT, pp. 768 - 774, presented at 23rd International Congress on Modelling and Simulation (MODSIM2019), Canberra ACT, 01 December 2019 - 06 December 2019, http://dx.doi.org/10.36334/modsim.2019.h7.jovanoski

Huang ZJ; Watt S; Sidhu H; McIntosh A; Brindley J; Jovanoski Z; Towers I, 2019, '2D chaotic flow in competitive exothermic-endothermic reactions', in El Sawah, S. (ed.) MODSIM2019, 23rd International Congress on Modelling and Simulation., Modelling and Simulation Society of Australia and New Zealand, Canberra, pp. 102 - 108, presented at 23rd International Congress on Modelling and Simulation (MODSIM2019), Canberra, 01 December 2019, http://dx.doi.org/10.36334/modsim.2019.a5.huang

McLennan-Smith T; Kalloniatis A; Sidhu H; Jovanoski Z; Watt S; Towers I, 2019, 'Exploiting ecological non-trophic models in representations of warfare', in El Sawah, S. (ed.) MODSIM2019, 23rd International Congress on Modelling and Simulation., Modelling and Simulation Society of Australia and New Zealand, Canberra, pp. 242 - 248, presented at 23rd International Congress on Modelling and Simulation (MODSIM2019), Canberra, 01 December 2019, http://dx.doi.org/10.36334/modsim.2019.b3.mclennan-smith

Jovanoski Z; Sharples JJ; Gill AM; Watt S; Sidhu HS; Towers IN; Sanni S, 2018, 'Modelling the rate of spread of fire: An SDE approach', in Viegas DX (ed.), ADVANCES IN FOREST FIRE RESEARCH 2018, UNIV COIMBRA, PORTUGAL, Coimbra, pp. 555 - 565, presented at 8th International Conference on Forest Fire Research, PORTUGAL, Coimbra, 09 November 2018 - 16 November 2018, http://dx.doi.org/10.14195/978-989-26-16-506_62

Towers I; Sidhu H; Jovanoski Z; Merrick K; Barlow M, 2017, 'An N-player Trust game: comparison of replicator and logit dynamics', Hobart, Tasmania, presented at The 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, 03 December 2017 - 08 December 2017, http://www.mssanz.org.au/modsim2017/Keynote/towers.pdf

Sanni S; Sharples J; Gill A; Jovanoski Z; Sidhu HS; Towers I, 2017, 'A stochastic differential equation approach to modelling the growth phase of fire spread', in Syme G; Hatton MacDonald D; Fulton B; Piantadosi J (eds.), MODSIM2017 - Proceedings - MSSANZ, Modelling and Simulation Society of Australia and New Zealand Inc. (MSSANZ), Hobart, Tasmania, pp. 1152 - 1158, presented at The 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, 03 December 2017 - 08 December 2017, https://www.mssanz.org.au/modsim2017/H10/sanni.pdf

Mijangos L; Holleley C; Nichols R; Towers I; Jovanoski Z; Sidhu HS; Watt S; Adamack A; Sherwin W, 2017, 'Genetic linkage to explain genetic variation', in Syme G; Hatton MacDonald D; Fulton B; Piantadosi J (eds.), MODSIM2017, 22nd International Congress on Modelling and Simulation., Hobart, Tasmania, pp. 127 - 133, presented at The 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, 03 December 2017 - 08 December 2017, https://www.mssanz.org.au/modsim2017/A4/mijangos.pdf

Saifuddin R; Jovanoski Z; Safuan H; Watt S; Sidhu HS; Towers I, 2017, 'Invasive species in a confined environment: Reindeer population in the Pribilof Islands', in Syme G; Hatton MacDonald D; Fulton B; Piantadosi J (eds.), The 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, presented at International Congress on Modelling and Simulation, Hobart, Tasmania, 03 December 2017 - 08 December 2017, http://www.mssanz.org.au/modsim2017/A4/saifuddin.pdf

Watt S; Jovanoski Z; Sidhu HS; Towers I; Welbourne D, 2017, 'Population response to environmental change: A model with an alternate stable state', in Syme G; Hatton MacDonald D; Fulton B; Piantadosi J (eds.), MODSIM2017, 22nd International Congress on Modelling and Simulation., Modelling and Simulation Society of Australia and New Zealand Inc. (MSSANZ), Hobart, Tasmania, pp. 154 - 159, presented at The 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, 03 December 2017 - 08 December 2017, https://www.mssanz.org.au/modsim2017/A4/watt2.pdf

WATT S; Sidhu HS; Jovanoski Z; Towers I; Sharples J; Gubernov V, 2017, 'Propagation of travelling waves in a complex system modelling fire spread', Hobart, Tasmania, Australia, presented at 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, Australia, 03 December 2017 - 08 December 2017

Zazali HH; Towers IN; Sharples JJ, 2017, 'Incorporating environmental uncertainty in fire spread modelling', in Proceedings - 22nd International Congress on Modelling and Simulation, MODSIM 2017, pp. 1194 - 1200

Huang Z; Sidhu HS; Towers IN; Jovanoski Z; Gubernov VV, 2016, 'Analysis of Bi-Stability in combustion waves', in Chemical Engineering - Regeneration, Recovery and Reinvention, Engineers Australia, Adelaide SA Australia, pp. 242 - 251, presented at Chemeca 2016, Adelaide SA Australia, 25 September 2016 - 28 September 2016

Anderson C; Jovanoski Z; Towers I; Sidhu HS, 2015, 'A simple population model with a stochastic carrying capacity', in Weber T; McPhee MJ; Anderssen RS (eds.), 21st International Congress on Modelling and Simulation, Gold Coast, Australia, pp. 36 - 42, presented at MODSIM 2015, Gold Coast, Australia, 29 November 2015 - 04 December 2015, http://www.mssanz.org.au/modsim2015/A1/anderson.pdf

Dose TD; Jovanoski Z; Towers I; Sidhu HS, 2015, 'Dynamics of a discrete population model with variable carrying capacity', in Weber T; McPhee MJ; Anderssen RS (eds.), 21st International Congress on Modelling and Simulation, Gold Coast, Australia, pp. 50 - 56, presented at MODSIM 2015, Gold Coast, Australia, 29 November 2015 - 04 December 2015, http://www.mssanz.org.au/modsim2015/A1/dose.pdf

Huang Z; Sidhu H; Towers I; Jovanoski Z; Gubernov VV, 2015, 'Investigating Flame Fronts in Competitive Exothermic Reactions', in Weber T; McPhee MJ; Anderssen RS (eds.), 21st International Congress on Modelling and Simulation, Gold Coast, Australia, pp. 64 - 70, presented at MODSIM 2015, Gold Coast, Australia, 29 November 2015 - 04 December 2015, http://www.mssanz.org.au/modsim2015/A1/huang.pdf

Sharples J; Towers IN; Wheeler G; Wheeler V-M; McCoy JA, 2013, 'Modelling fire line merging using plane curvature flow', in Piantadosi J; Anderssen RS; Boland J (eds.), MODSIM2013, 20th International Congress on Modelling and Simulation, Adelaide, Australia, pp. 256 - 262, presented at MODSIM2013, 20th International Congress on Modelling and Simulation, Adelaide, Australia, 01 December 2013 - 06 December 2013, http://www.mssanz.org.au/modsim2013/A3/sharples2.pdf

Towers IN; Sidhu HS; Gubernov VV; Kolobov AV; Polezhaev AA, 2013, 'Multiplicity in combustion wave behaviour for a model', in Piantadosi J; Anderssen RS; Boland J (eds.), MODSIM2013, 20th International Congress on Modelling and Simulation, MODSIM2013, 20th International Congress on Modelling and Simulation, Adelaide, Australia, pp. 99 - 105, presented at MODSIM2013, 20th International Congress on Modelling and Simulation, Adelaide, Australia, 01 December 2013 - 06 December 2013, http://www.mssanz.org.au/modsim2013/A1/towers.pdf

Sidhu HS; Towers I; Gubernov V; Kolobov AV; Polezhaev AA, 2013, 'Investigation of Flame Propagation in a Model with Competing Exothermic Reactions', in Chemeca 2013, Chemeca 2013, Brisbane, Australia, pp. 29350-1 - 29350-6, presented at Chemeca 2013, Brisbane, 29 September 2013 - 02 October 2013, http://www.conference.net.au/chemeca2013/papers/29350.pdf

Towers IN; Sidhu HS; Gubernov VV; Kolobov AV; Polezhaev AA, 2013, 'Multiplicity in combustion wave behaviour for a model with competing exothermic reactions', in Proceedings - 20th International Congress on Modelling and Simulation, MODSIM 2013, pp. 99 - 105

Safuan H; Towers I; Jovanoski Z; Sidhu HS, 2011, 'A simple model for the total microbial biomass under occlusion of healthy human skin', in MODSIM 2011 - 19th International Congress on Modelling and Simulation - Sustaining Our Future: Understanding and Living with Uncertainty, Modelling and Simulation Society, Australian National University, Canberra, ACT, Australia, pp. 733 - 739, presented at MODSIM 2011 - 19th International Congress on Modelling and Simulation - Sustaining Our Future: Understanding and Living with Uncertainty, Perth, WA, 12 December 2011 - 16 December 2011, http://www.mssanz.org.au/modsim2011/AA/safuan.pdf

Qian C; Sidhu HS; Sharples JJ; Towers I; Gubernov V, 2011, 'Combustion waves from a sequential exothermic and endothermic reaction', in MODSIM 2011 - 19th International Congress on Modelling and Simulation - Sustaining Our Future: Understanding and Living with Uncertainty, Modelling and Simulation Society, Australian National University, Canberra, ACT, Australia, pp. 725 - 732, presented at MODSIM 2011 - 19th International Congress on Modelling and Simulation - Sustaining Our Future: Understanding and Living with Uncertainty, Perth, WA, 12 December 2011 - 16 December 2011, http://www.mssanz.org.au/modsim2011/AA/qian.pdf

Sharples JJ; Gubernov VV; Sidhu HS; Towers IN; Kolobov AV; Polezhaev AA, 2009, 'Behaviour of combustion waves in one-step and two-step models', in 18th World IMACS Congress and MODSIM 2009 - International Congress on Modelling and Simulation: Interfacing Modelling and Simulation with Mathematical and Computational Sciences, Proceedings, pp. 4453 - 4459

Sharples JJ; Gubernov V; Sidhu HS; Towers I; Kolobov A; Polezhaev A, 2009, 'Behaviour of combustion waves in one-step and two-step models', in Proceedings of the 18th World IMACS Congress and MODSIM09 International Congress on Modelling and Simulation, MODSIM and IMAC, Australia, presented at 18th World IMACS Congress and MODSIM09 International Congress on Modelling and Simulation, Cairns, Australia

Towers I; Buryak AV; Sammut RA; Malomed BA, 2001, 'Stable ring solitons', in Nonlinear guided waves and their applications 2001, Nonlinear guided waves and their applications 2001, Clearwater, Florida, pp. 170 - 172, presented at Nonlinear guided waves and their applications 2001, Clearwater, Florida, 25 March 2001 - 28 March 2001

Buryak AV; Towers I; Sammut RA, 2000, 'Quality of Soliton Multistability', in Nonlinear Optics: Materials, Fundamentals and Applications, Hawaii, pp. 208 - 208, presented at Nonlinear Optics: Materials, Fundamentals and Applications, Hawaii, 06 August 2000 - 10 August 2000

Buryak AV; Towers I; Trillo S, 2000, 'Multistability, homoclinic clamping in nonlinear quadratic distributed feedback systems', in Qauntum Electronics and Laser Science Conference 2000, Qauntum Electronics and Laser Science Conference 2000, San Francisco, California USA, pp. 119 - 120, presented at Qauntum Electronics and Laser Science Conference 2000, San Francisco, California USA, 07 May 2000 - 12 May 2000

Towers I; Sammut RA; Buryak AV; Kolossovski KY; Malomed BA, 2000, 'Stable vortex rings due to parametric wave mixing', in Qauntum Electronics and Laser Science Conference 2000, Quantum Electronics and Laser Science Conference 2000, San Francisco, California USA, pp. 199 - 200, presented at Quantum Electronics and Laser Science Conference 2000, San Francisco, California USA, 07 May 2000 - 12 May 2000

Buryak AV; Towers I; Sammut RA; Malomed BA, 1999, 'Solitons due to double resonance wave mixing in quadratic nonlinear media', in Nonlinear guided waves and their applications 1999, Optica Publishing Group, Dijon, France, pp. 64 - 66, presented at Nonlinear guided waves and their applications 1999, Dijon, France, 01 September 1999 - 03 September 1999, http://dx.doi.org/10.1364/NLGW.1999.WD3

Towers I; Buryak AV; Sammut RA; Malomed BA, 1999, 'Soltons due to two resonance wave mixing', in Chantler CT; Farrell PM (ed.), Australian optical society 99, Australian optical society 99, Sydney, pp. 100, presented at Australian optical society 99, Sydney, 06 July 1999 - 09 July 1999

Buryak AV; Towers I; Sammut RA, 'Quality of soliton multistability', in Nonlinear Optics: Materials, Fundamentals, and Applications. Technical Digest. Postconference Edition. TOPS Vol.46 (IEEE Cat. No.00CH37174), Opt. Soc. America, presented at Nonlinear Optics: Materials, Fundamentals, and Applications. Technical Digest. TOPS Vol.46, http://dx.doi.org/10.1109/nlo.2000.883623

Theses / Dissertations

Dose TD, 2015, Dynamics of Discrete Population Models with Changing Carrying Capacity, UNSW Canberra

Safuan H, 2014, Mathematical Analysis of Population Growth Subject to Environmental Change, UNSW Canberra

Sun Y, 2014, Soliton Dynamics in Frequency-Modulated Lattices

Towers I, 2001, Spatial Optical Solitions: From Basic Self-Trapping to Spinning Light Bullet Dynamics

Preprints

McLennan-Smith T; Kalloniatis A; Watt S; Jovanoski Z; Sidhu H; Roberts D; Towers I, 2022, Mathematical modelling of decision cycles in a competitive environment with neutral parties, , http://dx.doi.org/10.48550/arxiv.2212.07029

Amirian MM; Towers IN; Jovanoski Z; Irwin AJ, 2019, Memory and mutualism in species sustainability: a time-fractional Lotka-Volterra model with harvesting, , http://dx.doi.org/10.48550/arxiv.1904.12340

Band YB; Towers I; Malomed B, 2002, Improved Semiclassical Approximation for Bose-Einstein Condensates: Application to a BEC in an Optical Potential, , http://dx.doi.org/10.48550/arxiv.cond-mat/0207739

Other

Yost D; Morris S (ed.), 2016, Book Review: Calculus and Analysis: A Combined Approach, Australian Mathematical Society, , http://www.austms.org.au/Gazette+Volume+43+Number+1+March+2016

Yost D; Morris S (ed.), 2015, Book Review: Data-Driven Modeling & Scientific Computation: Methods for Complex Systems & Big Data, Australian Mathematical Society, , http://www.austms.org.au/Gazette+Volume+42+Number+1+March+2015

Yost D; Morris S (ed.), 2014, Book Review: Linear Algebra: Step by Step, Australian Mathematical Society, , http://www.austms.org.au/Gazette+Volume+41+Number+3+July+2014

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