Results 51 to 60 of about 328 (171)
Kudryashov Expansion Method Applied to Fisher Mathematical Model
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
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]
Consider the Hamiltonian system: \"q + \mathrm{V}'(q) = 0 \tag{★} where q = (q_1,…, q_n) and \mathrm{V} is periodic in q_i
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Chevron folding patterns and heteroclinic orbits [PDF]
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Dodwell, T +3 more
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Globally Exponentially Attracting Sets and Heteroclinic Orbits Revealed
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
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
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
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
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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
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Björn Schenke +3 more
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