Results 91 to 100 of about 7,276 (215)
Abstract and Applied Analysis, 2014 By using critical point theory, we obtain a new sufficient condition on the existence of homoclinic solutions of a class of nonperiodic discrete nonlinear systems in infinite lattices. The classical Ambrosetti-Rabinowitz superlinear condition is improved
Genghong Lin, Zhan Zhou
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A Note on Homoclinic Orbits for Second Order Hamiltonian Systems [PDF]
, 2014 In this paper, we study the existence for the homoclinic orbits for the second order Hamiltonian systems. Under suitable conditions on the potential $V$, we apply the direct method of variations and the Fourier analysis to prove the existence of ...
Li, Bingyu +3 more
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Oscillations in three‐reaction quadratic mass‐action systems
Studies in Applied Mathematics, Volume 152, Issue 1, Page 249-278, January 2024.Abstract It is known that rank‐two bimolecular mass‐action systems do not admit limit cycles. With a view to understanding which small mass‐action systems admit oscillation, in this paper we study rank‐two networks with bimolecular source complexes but allow target complexes with higher molecularities.
Murad Banaji +2 more
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Existence of Homoclinic Solutions for a Class of Nonlinear Difference Equations
Advances in Difference Equations, 2010 By using the critical point theory, we establish some existence criteria to guarantee that the nonlinear difference equation has at least one homoclinic solution, where , and is non periodic in .
Chen Peng, Tang XH
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Ergodic measures with multi-zero Lyapunov exponents inside homoclinic classes
, 2016 We prove that for $C^1$ generic diffeomorphisms, if a homoclinic class $H(P)$ contains two hyperbolic periodic orbits of indices $i$ and $i+k$ respectively and $H(P)$ has no domination of index $j$ for any $j\in\{i+1,\cdots,i+k-1\}$, then there exists a ...
Wang, Xiaodong, Zhang, Jinhua
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Korteweg–de Vries waves in peridynamical media
Studies in Applied Mathematics, Volume 152, Issue 1, Page 376-403, January 2024.Abstract We consider a one‐dimensional peridynamical medium and show the existence of solitary waves with small amplitudes and long wavelength. Our proof uses nonlinear Bochner integral operators and characterizes their asymptotic properties in a singular scaling limit.
Michael Herrmann, Katia Kleine
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Abstract and Applied Analysis, 2012 A class of difference equations which include discrete nonlinear Schrödinger equations as special cases are considered. New sufficient conditions of the existence and multiplicity results of homoclinic solutions for the difference equations are obtained ...
Defang Ma, Zhan Zhou
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Analysis of the Stability and Chaotic Dynamics of an Ecological Model
Complexity, Volume 2024, Issue 1, 2024.Modelling has become an eminent tool in the study of ecological systems. Ecological modelling can help implement sustainable development, mathematical models, and system analysis that explain how ecological processes can promote the sustainable management of resources.
Muhammad Aqib Abbasi +6 more
wiley +1 more source
Homoclinic orbits at infinity for second-order Hamiltonian systems with fixed energy
Electronic Journal of Differential Equations, 2015 We obtain the existence of homoclinic orbits at infinity for a class of second-order Hamiltonian systems with fixed energy. We use the limit for a sequence of approximate solutions which are obtained by variational methods.
Dong-Lun Wu, Shiqing Zhang
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Harmonic Balance for Non-Periodic Hyperbolic Solutions of Nonlinear Ordinary Differential Equations
Mathematical Modelling and Analysis, 2017 In this paper, we propose a new approach for obtaining explicit analytical approximations to the homoclinic or heteroclinic solutions of a general class of strongly nonlinear ordinary differential equations describing conservative singledegree-of-freedom
Serge Bruno Yamgoue +2 more
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