Results 31 to 40 of about 7,158,567 (167)

The numerical computation of connecting orbits in dynamical systems [PDF]

open access: yes, 1990
Beyn W-J. The numerical computation of connecting orbits in dynamical systems. IMA Journal of Numerical Analysis. 1990;10(3):379-405.Structural changes in dynamical systems are often related to the appearance or disappearance of orbits connecting two ...
Beyn, Wolf-Jürgen
core   +1 more source

Existence and multiplicity results of homoclinic solutions for fractional Hamiltonian systems

open access: yesComputers & Mathematics with Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong Zhou 0005, Lu Zhang
openaire   +1 more source

Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions [PDF]

open access: yes, 2008
We establish new existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many non ...
J. R. L. Webb   +5 more
core   +1 more source

Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation [PDF]

open access: yes, 2006
The saddle-node Hopf bifurcation (SNH) is a generic codimension-two bifurcation of equilibria of vector fields in dimension at least three. It has been identified as an organizing centre in numerous vector field models arising in applications.
Oldeman, BE   +3 more
core   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

Homoclinic snaking in a neutral delay model of a transmission line oscillator [PDF]

open access: yes, 2006
In a transmission line oscillator (TLO) a linear wave travels along a piece of cable, the transmission line, and interacts with terminating electrical components.
Wilson, RE, Barton, DAW, Krauskopf, B
core  

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone   +3 more
wiley   +1 more source

Mathematical Modeling of Pulse‐Seeded Metapopulation Dynamics for Andes Hantavirus Border Dispersal

open access: yesEngineering Reports, Volume 8, Issue 9, September 2026.
A pulse‐seeded metapopulation SEIR model for Andes hantavirus maritime dispersal shows that heterogeneous quarantine compliance determines secondary outbreak risk. The weakest‐compliance country governs global containment, while uniform compliance above ∼65%$$ \sim 65\% $$ reduces the global reproduction number below unity.
Gideon K. Gogovi, Paul Chataa
wiley   +1 more source

Some multiplicity results of homoclinic solutions for second order Hamiltonian systems

open access: yesOpuscula Mathematica, 2020
We look for homoclinic solutions \(q:\mathbb{R} \rightarrow \mathbb{R}^N\) to the class of second order Hamiltonian systems \[-\ddot{q} + L(t)q = a(t) \nabla G_1(q) - b(t) \nabla G_2(q) + f(t) \quad t \in \mathbb{R}\] where \(L: \mathbb{R}\rightarrow \mathbb{R}^{N \times N}\) and \(a,b: \mathbb{R}\rightarrow \mathbb{R}\) are positive bounded functions,
Barile, Sara, Salvatore, Addolorata
openaire   +5 more sources

A Multivariate Method for Dynamic System Analysis: Multivariate Detrended Fluctuation Analysis Using Generalized Variance

open access: yesTopics in Cognitive Science, Volume 18, Issue 3, July 2026.
Abstract Fractal fluctuations are a core concept for inquiries into human behavior and cognition from a dynamic systems perspective. Here, we present a generalized variance method for multivariate detrended fluctuation analysis (mvDFA). The advantage of this extension is that it can be applied to multivariate time series and considers intercorrelation ...
Sebastian Wallot   +5 more
wiley   +1 more source

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