Results 91 to 100 of about 10,534 (236)
Structural obstruction to the simplicity of the eigenvalue zero in chemical reaction networks
Mathematical Methods in the Applied Sciences, Volume 47, Issue 4, Page 2993-3006, 15 March 2024.Multistationarity is the property of a system to exhibit two distinct equilibria (steady‐states) under otherwise identical conditions, and it is a phenomenon of recognized importance for biochemical systems. Multistationarity may appear in the parameter space as a consequence of saddle‐node bifurcations, which necessarily require an algebraically ...
Nicola Vassena
wiley +1 more source
Asset price dynamics in a financial market with fundamentalists and chartists
Discrete Dynamics in Nature and Society, 2001 In this paper we consider a model of the dynamics of speculative markets involving the interaction of fundamentalists and chartists. The dynamics of the model are driven by a two-dimensional map that in the space of the parameters displays regions of ...
Carl Chairella +2 more
doaj +1 more source
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
wiley +1 more source
On a Family of Hamilton–Poisson Jerk Systems
MathematicsIn this paper, we construct a family of Hamilton–Poisson jerk systems. We show that such a system has infinitely many Hamilton–Poisson realizations. In addition, we discuss the stability and we prove the existence of periodic orbits around nonlinearly ...
Cristian Lăzureanu, Jinyoung Cho
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Homoclinic orbits and Lie rotated vector fields
International Journal of Mathematics and Mathematical Sciences, 2000 Based on the definition of Lie rotated vector fields in the plane, this paper gives the property of homoclinic orbit as parameter is changed and the singular points are fixed on Lie rotated vector fields.
Jie Wang, Chen Chen
doaj +1 more source
Bifurcations of cubic homoclinic tangencies in two-dimensional symplectic maps
, 2017 We study bifurcations of cubic homoclinic tangencies in two-dimensional symplectic maps. We distinguish two types of cubic homoclinic tangencies, and each type gives different first return maps derived to diverse conservative cubic H\'enon maps with ...
Gonchenko, Marina +2 more
core +1 more source
A Numerical Bifurcation Function for Homoclinic Orbits
SIAM Journal on Numerical Analysis, 1998 Summary: The authors present a numerical method to locate periodic orbits near homoclinic orbits. Using a method of [\textit{X.-B. Lin}, Proc. R. Soc. Edinb., Ser. A 116, 295-325 (1990; Zbl 0714.34070)] and solutions of the adjoint variational equation, one gets a bifurcation function for periodic orbits, whose periods are asymptotic to infinity on ...
Ashwin, Peter, Mei, Zhen
openaire +3 more sources
Homoclinic orbits of second-order nonlinear difference equations
Electronic Journal of Differential Equations, 2015 We establish existence criteria for homoclinic orbits of second-order nonlinear difference equations by using the critical point theory in combination with periodic approximations.
Haiping Shi, Xia Liu, Yuanbiao Zhang
doaj
Partial Hyperbolicity and Homoclinic Tangencies [PDF]
, 2011 We show that any diffeomorphism of a compact manifold can be C1 approximated by diffeomorphisms exhibiting a homoclinic tangency or by diffeomorphisms having a partial hyperbolic ...
Crovisier, Sylvain +2 more
core +1 more source
Homoclinic Orbits for Asymptotically Linear Hamiltonian Systems
Journal of Functional Analysis, 2001 The existence of a homoclinic orbit is proved in the paper for a Hamiltonian system \[ \dot z=JH_z(z,t),\tag{1} \] where \(z=(p,q)\in \mathbb R^{2N}\) and \(J=\left (\begin{smallmatrix} 0 & -I\\ I & 0\end{smallmatrix} \right)\). Furthermore, \(H(z,t)=\frac{1}{2}Az\cdot z+G(z,t)\) and \(H(0,t)=0\) with \(G_z(z,t)/|z|\to 0\) uniformly in \(t\) as \(z\to ...
Szulkin, Andrzej, Zou, Wenming
openaire +2 more sources