Results 21 to 30 of about 2,056 (109)

On the existence of chaotic circumferential waves in spinning disks

, 2007
We use a third-order perturbation theory and Melnikov's method to prove the existence of chaos in spinning circular disks subject to a lateral point load.
Arzhang Angoshtari, Melnikov V. K., Mir Abbas Jalali, Reddy J. N.   +3 more
core   +1 more source

A Survey of SIR‐Based Differential Epidemic Models for Control and Security Against Malware Propagation in Computer Networks

SECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley   +1 more source

Transversal homoclinic points of a class of conservative diffeomorphisms

Journal of Differential Equations, 1990
Area preserving diffeomorphisms of \({\mathbb{R}}^ 2\) of the form \(F(x,y)=(y,-x+2G(y))\) are considered. In the conservative case \((b=-1)\), the Hénon map is conjugated to F with \(G(y)=y^ 2+cy.\) It is proved, that if \(c>1\) then there exists a homoclinic point \(p_ c\neq (0,0)\) and the angle between the invariant manifolds at \(p_ c\) is an ...
openaire   +1 more source

On stochastic sea of the standard map

, 2010
Consider a generic one-parameter unfolding of a homoclinic tangency of an area preserving surface diffeomorphism. We show that for many parameters (residual subset in an open set approaching the critical value) the corresponding diffeomorphism has a ...
A. Gorodetski, A. Gorodetski, A. Manning, A. Manning, Anton Gorodetski, B. Chirikov, C. Bonatti, C. Robinson, D. Goroff, D. Shepelyansky, D. Turaev, E. Fontich, E. Fontich, F. Izraelev, F. Przytycki, G. Moreira, H. Dankowicz, J. Llibre, J. Palis, J. Xia, K. Bloor, L. Bunimovich, L. Mora, L. Tedeschini-Lalli, M. Henon, M. Wojtkowski, M.-C. Arnaud, P. Duarte, P. Duarte, P. Duarte, P. Duarte, R. McGehee, R.S. MacKay, R.S. MacKay, S. Cantat, S. Gonchenko, S. Gonchenko, S. Gonchenko, S. Newhouse, S. Newhouse, S. Newhouse, S. Newhouse, S. Sternberg, T. Downarowicz, V. Afraimovich, V. Chernov, V. Donnay, V. Gelfreich, V. Gelfreich, V. Gelfreich, V. Gelfreich, V. Gelfreich, V. Gelfreich, Ya. Pesin   +53 more
core   +1 more source

Dynamics of Trajectories and Weak Chimera Patterns in the Second‐Order Kuramoto Model With Damping Effects

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, Abbas Kareem Wanas, Daniel Breaz, Luminiţa-Ioana Cotîrlă, Shikha Binwal   +4 more
wiley   +1 more source

The Effects of Fluctuating Carrying Capacity on the Dynamics of a Holling‐Type III Predator–Prey Model

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study investigates the complex dynamics of a predator–prey system governed by the classical Lotka–Volterra model incorporating a Holling‐type III. To capture environmental variability, the prey’s carrying capacity is modeled as a periodic function, introducing a time‐dependent forcing into the system.
Ali Sarrah, Faizah J. Alanazi, Mehmet Yavuz, Sayed Saber, Mengxin Chen   +4 more
wiley   +1 more source

Random Wandering Around Homoclinic-like Manifolds in Symplectic Map Chain

, 2001
We present a method to construct a symplecticity preserving renormalization group map of a chain of weakly nonlinear symplectic maps and obtain a general reduced symplectic map describing its long-time behaviour.
Goto, Shin-itiro, Nozaki, Kazuhiro, Yamada, Hiroyasu   +2 more
core   +2 more sources

Bifurcation Analysis of Nonlinear Oscillations in the Electrical Activity of Pancreatic β‐Cells

Proceedings in Applied Mathematics and Mechanics, Volume 25, Issue 4, December 2025.
ABSTRACT Cell biological systems are characterized by complex relationships and nonlinear processes. The modeling of these processes improves the understanding, and represents a significant enrichment of the experimental investigation. An example of such a system is the regulation of blood glucose concentration by pancreatic β$\beta$‐cells through the ...
Paula Clasen, Lars de Jong, Michael Müller   +2 more
wiley   +1 more source

Useful Public Spending, Taylor Principle, and Macroeconomic Instability

Journal of Public Economic Theory, Volume 27, Issue 5, October 2025.
ABSTRACT This paper analyzes the stationary welfare and local stability implication of useful public spending in a discrete‐time one‐sector monetary economy with Taylor rule. Public spending, financed through a flat income tax, is useful and exerts externalities on production. In our economy, money is needed for transaction purposes.
Antoine Le Riche
wiley   +1 more source

Intersections of Lagrangian submanifolds and the Mel'nikov 1-form

, 2006
We make explicit the geometric content of Mel'nikov's method for detecting heteroclinic points between transversally hyperbolic periodic orbits.
Abraham, Arnol’d, Chierchia, Colin de Verdière, Delshams, Delshams, Eliasson, Fenichel, Holmes, Lochak, Mel’nikov, Nicolas Roy, Weinstein, Wiggins, Zung   +14 more
core   +1 more source