Results 51 to 60 of about 328 (171)

Kudryashov Expansion Method Applied to Fisher Mathematical Model

open access: yesAdvances in Mathematical Physics, Volume 2026, Issue 1, 2026.
We obtain new computational soliton solutions characterized by topological, rational, exponential, trigonometric, and hyperbolic functions for the Fisher equation. Using a good strategy, the Kudryashov expansion method is used to find different dynamical wave structures of soliton solutions within the scope of evolutionary dynamical structures of ...
Elif Deniz Öztürk   +3 more
wiley   +1 more source

Incorporating Memory Effects in Population Ecology Using Fractional Derivatives: Stability Perspectives, Bifurcations, and Chaos Control

open access: yesComplexity, Volume 2026, Issue 1, 2026.
This study investigates a discrete‐time predator–prey model that includes both prey refuge and memory effects. The research identifies the conditions under which fixed points exist and remain stable. A key focus is placed on analyzing different types of bifurcation—such as period doubling (PD), Neimark–Sacker (NS), and strong resonances (1 : 2, 1 : 3 ...
S. M. Sohel Rana   +2 more
wiley   +1 more source

Periodic and heteroclinic orbits for a periodic hamiltonian system [PDF]

open access: yesAnnales de l'Institut Henri Poincaré C, Analyse non linéaire, 1989
Consider the Hamiltonian system: \"q + \mathrm{V}'(q) = 0 \tag{★} where q = (q_1,…, q_n) and \mathrm{V} is periodic in q_i
openaire   +1 more source

Chevron folding patterns and heteroclinic orbits [PDF]

open access: yesPhysica D: Nonlinear Phenomena, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dodwell, T   +3 more
openaire   +3 more sources

Globally Exponentially Attracting Sets and Heteroclinic Orbits Revealed

open access: yesMathematics
Motivated by the open problems on the global dynamics of the generalized four-dimensional Lorenz-like system, this paper deals with the existence of globally exponentially attracting sets and heteroclinic orbits by constructing a series of Lyapunov ...
Guiyao Ke
doaj   +1 more source

Dynamics of Trajectories and Weak Chimera Patterns in the Second‐Order Kuramoto Model With Damping Effects

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This study examines the second‐order Kuramoto model within a specific small invariant subspace. We explore how the damping parameter influences the emergence of synchronized states and the weak chimera state in this model. In addition, we numerically investigate various behaviors in the phase space resulting from changes in the damping parameter and ...
Mary G. Thoubaan   +4 more
wiley   +1 more source

Complex Dynamics in a Tritrophic Chain Model With Prey Stage Structure

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
A tritrophic chain model with prey stage structure (reproductive and nonreproductive classes) is analyzed. This model is provided by an ODE system of dimension four and the main premise consists in assuming that the interaction between reproductive population and predator is governed either by a functional response Holling type II or IV (where a ...
Gamaliel Blé   +3 more
wiley   +1 more source

Some new observations for a stage-structured predator-prey model

open access: yes上海师范大学学报. 自然科学版, 2017
A 3D stage-structured predator-prey model, whose necessary and sufficient conditions for the permanence of two species and the extinction of one species or two species were previously obtained, is revisited in this paper.
Li Wei, Li Xianyi
doaj   +1 more source

Dynamics of Computational Solitons: Modulation Instability, Bifurcation, Chaotic Nature With Different Chaos‐Detecting Tools, and Influence of Multiplicative Noise Intensity

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This study presents the dynamic analysis of stochastic fractional unstable nonlinear Schrödinger equation (SFuNLSE), focusing on the analysis of bifurcation, chaotic nature, return map, recurrence plots, strange attractor, basin attractor, power spectrum, chaotic nature and also finds the exact optical soliton solution with multiplicative noise ...
Md. Mamunur Roshid   +3 more
wiley   +1 more source

Calculation of homoclinic and heteroclinic orbits in 1D maps

open access: yesCommunications in Nonlinear Science and Numerical Simulation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Björn Schenke   +3 more
openaire   +3 more sources

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