ORCID Profile
0000-0002-4308-6129
Current Organisation
UNSW
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Publisher: Elsevier BV
Date: 02-2018
Publisher: Optica Publishing Group
Date: 12-1999
DOI: 10.1364/OL.24.001738
Abstract: We investigate analytically and numerically the existence and stability properties of three-wave solitons resulting from double-resonance (type I plus type II) parametric interaction in a purely quadratic nonlinear medium. The existence of a family of stable solitons for the double-resonance model is demonstrated in a broad parameter range. Moreover, these solitons are shown to exhibit multistability, a feature that is potentially useful for optical switching applications. Finally, we find and present a novel family of quasi solitons.
Publisher: Springer Science and Business Media LLC
Date: 11-2001
Publisher: Elsevier BV
Date: 02-2013
Publisher: Elsevier BV
Date: 06-2007
Publisher: Elsevier BV
Date: 06-2017
Publisher: American Physical Society (APS)
Date: 22-06-2001
Publisher: Informa UK Limited
Date: 10-07-2011
Publisher: American Physical Society (APS)
Date: 14-05-2003
Publisher: MDPI AG
Date: 27-10-2023
Publisher: IOP Publishing
Date: 17-06-2009
Publisher: Elsevier BV
Date: 11-2011
Publisher: Springer Science and Business Media LLC
Date: 18-07-2013
DOI: 10.1007/S11538-013-9869-7
Abstract: The environmental carrying capacity is usually assumed to be fixed quantity in the classical predator-prey population growth models. However, this assumption is not realistic as the environment generally varies with time. In a bid for greater realism, functional forms of carrying capacities have been widely applied to describe varying environments. Modelling carrying capacity as a state variable serves as another approach to capture the dynamical behavior between population and its environment. The proposed modified predator-prey model is based on the ratio-dependent models that have been utilized in the study of food chains. Using a simple non-linear system, the proposed model can be linked to an intra-guild predation model in which predator and prey share the same resource. Distinct from other models, we formulate the carrying capacity proportional to a biotic resource and both predator and prey species can directly alter the amount of resource available by interacting with it. Bifurcation and numerical analyses are presented to illustrate the system's dynamical behavior. Taking the enrichment parameter of the resource as the bifurcation parameter, a Hopf bifurcation is found for some parameter ranges, which generate solutions that posses limit cycle behavior.
Publisher: American Physical Society (APS)
Date: 24-03-2003
Publisher: Informa UK Limited
Date: 20-03-2005
Publisher: Wiley
Date: 04-08-2010
Publisher: Springer Science and Business Media LLC
Date: 30-01-2017
Publisher: OSA
Date: 1999
Publisher: American Physical Society (APS)
Date: 29-07-2002
Publisher: Elsevier BV
Date: 02-2016
Publisher: Elsevier BV
Date: 10-2001
Publisher: Informa UK Limited
Date: 15-09-2009
Publisher: The Royal Society
Date: 08-10-2013
Abstract: We investigate a diffusional-thermal model with two-step competitive exothermic reactions for premixed combustion wave propagation in one spatial dimension under adiabatic conditions. A criterion based on the crossover temperature notion was used to qualitatively predict the region in the space of parameters where three travelling combustion wave solutions coexist, which are further studied via numerical means. It is demonstrated that under certain conditions the flame speed is an ‘S’-shaped function of parameters. The fast branch is either stable or is partly stable and exhibits the Andronov–Hopf (AH) bifurcation before the turning point is reached. The mid-branch is completely unstable. The slow solution branch is either unstable or partly stable and exhibits a single or a pair of AH bifurcations. The AH bifurcations are shown to be supercritical giving rise to stable pulsating waves. Bistability and hysteresis phenomena are also demonstrated.
Publisher: American Physical Society (APS)
Date: 04-02-2002
Publisher: Informa UK Limited
Date: 27-10-2009
Publisher: Elsevier BV
Date: 03-2000
Publisher: Optica Publishing Group
Date: 12-2000
Publisher: Springer Science and Business Media LLC
Date: 29-02-2016
Publisher: American Physical Society (APS)
Date: 24-10-2002
Publisher: Elsevier BV
Date: 09-2020
Publisher: Optica Publishing Group
Date: 03-2002
Publisher: Informa UK Limited
Date: 15-12-2005
Publisher: Elsevier BV
Date: 2008
Publisher: World Scientific Pub Co Pte Lt
Date: 12-2006
DOI: 10.1142/S0218863506003402
Abstract: The interaction between two intense fields with a closed three-level atomic system in the cascade configuration is considered. We derive the steady-state expressions for the field-induced susceptibilities which are valid for all field strengths for the two fields. In particular, we show that each field influences the steady-state susceptibility and absorption experienced by the other field.
Publisher: Institute for Operations Research and the Management Sciences (INFORMS)
Date: 11-2021
Abstract: Traditional combat models, such as Lanchester’s equations, are typically limited to two competing populations and exhibit solutions characterized by exponential decay—and growth if logistics are included. We enrich such models to account for modern and future complexities, particularly around the role of interagency engagement in operations as often displayed in counterinsurgency operations. To address this, we explore incorporation of nontrophic effects from ecological modeling. This provides a global representation of asymmetrical combat between two forces in the modern setting in which noncombatant populations are present. As an ex le, we set the noncombatant population in our model to be a neutral agency supporting the native population to the extent that they are noncombatants. Correspondingly, the opposing intervention force is under obligations to enable an environment in which the neutral agency may undertake its work. In contrast to the typical behavior seen in the classic Lanchester system, our model gives rise to limit cycles and bifurcations that we interpret through a warfighting application. Finally, through a case study, we highlight the importance of the agility of a force in achieving victory when noncombatant populations are present.
Publisher: Elsevier BV
Date: 2005
Publisher: IOP Publishing
Date: 24-09-2002
Publisher: American Physical Society (APS)
Date: 18-04-2001
Publisher: American Physical Society (APS)
Date: 07-02-2003
No related grants have been discovered for Isaac Towers.