Results 51 to 60 of about 203,959 (154)
International 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
AxiomsNumerous systems in electrical engineering, biology, and mechanical structures can be modeled using dynamical systems theory. This paper examines the behavior of a 3D dynamical system with six parameters, specifically its damped or periodic oscillations ...
Remus-Daniel Ene +3 more
doaj +1 more source
Complex Dynamics in a Tritrophic Chain Model With Prey Stage Structure
Journal 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
Construction of entire solutions for semilinear parabolic equations
Electronic Journal of Differential Equations, 2008 Entire solutions of parabolic equations (those which are defined for all time) are typically rather rare. For example, the heat equation has exactly one entire solution - the trivial solution.
Michael Robinson
doaj
Dynamics of a New Four-Thirds-Degree Sub-Quadratic Lorenz-like System
AxiomsAiming to explore the subtle connection between the number of nonlinear terms in Lorenz-like systems and hidden attractors, this paper introduces a new simple sub-quadratic four-thirds-degree Lorenz-like system, where x˙=a(y−x), y˙=cx−x3z, z˙=−bz+x3y ...
Guiyao Ke +3 more
doaj +1 more source
Journal 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
Precise Orbit Determination for ADEOS-II [PDF]
, 2006 We performed the precise orbit determination of ADEOS-II using single frequency GPS data and reviewed the results. JAXA precise orbit determination system is called “GUTS (Global and high accUracy Trajectory determination system)”.
Yamamoto, Y. +3 more
core
Global portraits of inflation in nonsingular variables
European Physical Journal C: Particles and FieldsIn the phase space perspective, scalar field slow roll inflation is described by a heteroclinic orbit from a saddle type fixed point to a final attractive point.
Laur Järv, Dmitri Kraiko
doaj +1 more source
Existence of Heteroclinic Orbits in Fractional-Order and Integer-Order Coupled Lorenz Systems
Fractal and FractionalApplying two Lyapunov functions and the concepts of α-/ω-limit sets, this paper reexamines fractional-order and integer-order coupled Lorenz systems and simultaneously proves the existence of twelve heteroclinic orbits, i.e., four ones to S0 and S5,6,7,8,
Guiyao Ke +3 more
doaj +1 more source
Heteroclinic orbits for retarded functional differential equations [PDF]
, 1986 Suppose Γ is a heteroclinic orbit of a Ck functional differential equation ẋ(t) = ƒ(xi) with α-limit set α(Γ) and ω-limit set ω(Γ) being either hyperbolic equilibrium points or periodic orbits.
Hale, Jack K. +3 more
core +1 more source