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Keyword search result for in Journal: SIAM Journal on Applied Dynamical Systems -- New results matching your keyword search query (updated daily).

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Blow-up Behavior for ODEs with Normally Hyperbolic Nature in Dynamics at Infinity

https://epubs.siam.org/doi/abs/10.1137/23M1588561?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search

Published: February 5, 2025 08:00

SIAM Journal on Applied Dynamical Systems, Volume 24, Issue 1, Page 415-456, March 2025. Abstract.We describe blow-up behavior for ODEs by means of dynamics at infinity with complex asymptotic behavior in autonomous systems, as well as in nonautonomous…

Structure of Periodic Orbit Families in the Hill Restricted 4-Body Problem

https://epubs.siam.org/doi/abs/10.1137/24M1637301?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search

Published: January 31, 2025 08:00

SIAM Journal on Applied Dynamical Systems, Volume 24, Issue 1, Page 346-375, March 2025. Abstract.The Hill Restricted 4-Body Problem (HR4BP) is a coherent time-periodic model that can be used to represent motion in the Sun-Earth-Moon system. Periodic…

Ergodicity in Planar Slow-Fast Systems through Slow Relation Functions

https://epubs.siam.org/doi/abs/10.1137/24M1651514?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search

Published: January 16, 2025 08:00

SIAM Journal on Applied Dynamical Systems, Volume 24, Issue 1, Page 317-345, March 2025. Abstract.In this paper, we study ergodic properties of the slow relation function (or entry-exit function) in planar slow-fast systems. It is well known that zeros of…

Contrasting Chaotic and Stochastic Forcing: Tipping Windows and Attractor Crises

https://epubs.siam.org/doi/abs/10.1137/24M1661534?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search

Published: January 16, 2025 08:00

SIAM Journal on Applied Dynamical Systems, Volume 24, Issue 1, Page 277-316, March 2025. Abstract.Nonlinear dynamical systems subjected to a combination of noise and time-varying forcing can exhibit sudden changes, critical transitions, or tipping points,…

Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems

https://epubs.siam.org/doi/abs/10.1137/23M1608057?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search

Published: January 10, 2025 08:00

SIAM Journal on Applied Dynamical Systems, Volume 24, Issue 1, Page 219-258, March 2025. Abstract.When the planar circular restricted 3-body problem (PCRTBP) is periodically perturbed, as occurs in many useful astrodynamics models, most unstable periodic…

Unveiling the Cyclicity of Monodromic Tangential Singularities: Insights beyond the Pseudo-Hopf Bifurcation

https://epubs.siam.org/doi/abs/10.1137/24M1668329?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search

Published: January 9, 2025 08:00

SIAM Journal on Applied Dynamical Systems, Volume 24, Issue 1, Page 165-186, March 2025. Abstract.The cyclicity problem, crucial in analyzing planar vector fields, consists of estimating the number of limit cycles emanating from monodromic singularities.…

Phase-Based Reduced Order Models for Parabolic and Elliptic Bursting Neurons

https://epubs.siam.org/doi/abs/10.1137/23M1625317?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search

Published: January 9, 2025 08:00

SIAM Journal on Applied Dynamical Systems, Volume 24, Issue 1, Page 187-218, March 2025. Abstract.While many well-established approaches exist for phase-based reduced order modeling of tonically firing neurons, comparatively few general approaches exist…

Understanding Broad-Spike Oscillations in a Model of Intracellular Calcium Dynamics

https://epubs.siam.org/doi/abs/10.1137/24M1633807?af=R&countTerms=true&publication=sjaday&searchCollection=jb&sortBy=EpubDate_desc&target=multi-search

Published: January 9, 2025 08:00

SIAM Journal on Applied Dynamical Systems, Volume 24, Issue 1, Page 131-164, March 2025. Abstract.Oscillations of free intracellular calcium concentration are thought to be important in the control of a wide variety of physiological phenomena, and there…