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Chemical reaction rates must increasingly be determined in systems that evolve under the control of external stimuli. In these systems, when a reactant population is induced to cross an energy barrier through forcing from a temporally…

Chemical Physics · Physics 2015-05-01 Galen T. Craven , Thomas Bartsch , Rigoberto Hernandez

We theoretically study analytic-phase synchronization in strongly-competing oscillator systems. Using the example of composite-cavity modes coupled via a class-B laser active medium, we discover that inherent chaotic phase synchronization…

Chaotic Dynamics · Physics 2007-05-23 Sebastian Wieczorek , Weng W. Chow

When an oscillator switches abruptly between different frequencies, there is some ambiguity in deciding how the system should be modelled at the switch. Here we describe two seemingly natural models of a switch in a simple…

Dynamical Systems · Mathematics 2022-12-28 Carles Bonet , Mike R. Jeffrey , Pau Martín , Josep M. Olm

In this paper, inspired by the article [5], we introduce the induced topological pressure for a topological dynamical system. In particular, we prove a variational principle for the induced topological pressure.

Dynamical Systems · Mathematics 2015-06-23 Zhitao Xing , Ercai Chen

We investigate the entrainment of a neuron model exhibiting a chaotic spiking-bursting behavior in response to a weak periodic force. This model exhibits two types of oscillations with different characteristic time scales, namely, long and…

Chaotic Dynamics · Physics 2015-06-05 Hiroyasu Ando , Hiromichi Suetani , Juergen Kurths , Kazuyuki Aihara

A new type of noised-induced phase transitions that should occur in systems of elements with motivated behavior is considered. By way of an example, a simple oscillatory system {x,v} with additive white noise is analyzed numerically. A…

Soft Condensed Matter · Physics 2007-05-23 Ihor Lubashevsky , Morteza Hajimahmoodzadeh , Albert Katsnelson , Peter Wagner

We analyze the driven-dissipative dynamics of subwavelength periodic atomic arrays in free space, where atoms interact via light-induced dipole-dipole interactions. We find that depending on the system parameters, the underlying mean-field…

Quantum Physics · Physics 2024-06-28 Victoria Zhang , Stefan Ostermann , Oriol Rubies-Bigorda , Susanne F. Yelin

Ion traps are a versatile tool to study nonequilibrium statistical physics, due to the tunability of dissipation and nonlinearity. We propose an experiment with a chain of trapped ions, where dissipation is provided by laser heating and…

Pattern Formation and Solitons · Physics 2011-04-06 Tony E. Lee , M. C. Cross

Several Earth system components are at a high risk of undergoing rapid and irreversible qualitative changes or `tipping', due to increasing climate warming. Potential tipping elements include Arctic sea-ice, Atlantic meridional overturning…

Atmospheric and Oceanic Physics · Physics 2024-07-25 Parvathi Kooloth , Jian Lu , Craig Bakker , Derek DeSantis , Adam Rupe

Dansgaard-Oeschger events are a prominent mode of variability in the records of the last glacial cycle. Various prototype models have been proposed to explain these rapid climate fluctuations, and no agreement has emerged on which may be…

Atmospheric and Oceanic Physics · Physics 2013-02-07 Andrea A. Cimatoribus , Sybren S. Drijfhout , Valerie Livina , Gerard van der Schrier

Many climate subsystems are thought to be susceptible to tipping - and some might be close to a tipping point. The general belief and intuition, based on simple conceptual models of tipping elements, is that tipping leads to reorganization…

Pattern Formation and Solitons · Physics 2021-12-01 Robbin Bastiaansen , Henk A. Dijkstra , Anna S. von der Heydt

A prototype model of a stochastic one-variable system with a linear restoring force driven by two cross-correlated multiplicative and additive Gaussian white noises was considered earlier [S. I. Denisov et al., Phys. Rev. E 68, 046132…

Statistical Mechanics · Physics 2016-12-13 A. N. Vitrenko

Based on suggested interactions of potential tipping elements in the Earth's climate and in ecological systems, tipping cascades as possible dynamics are increasingly discussed and studied as their activation would impose a considerable…

Competing ground states may lead to topologically constrained excitations such as domain walls or quasiparticles, which govern metastable states and their dynamics. Domain walls and more exotic topological excitations are well studied in…

Soft Condensed Matter · Physics 2021-06-09 Carl Merrigan , Cristiano Nisoli , Yair Shokef

We exhibit a resonance mechanism of amplification of density perturbations in inflationary mo-dels, using a minimal set of ingredients (an effective cosmological constant, a scalar field minimally coupled to the gravitational field and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 H. P. de Oliveira , I. Damiao Soares

We investigate energy transfer and localization in a linear time-invariant oscillator chain weakly coupled to a forced nonlinear actuator. Two types of perturbation are studied: (1) harmonic forcing with a constant frequency is applied to…

Pattern Formation and Solitons · Physics 2015-01-06 Agnessa Kovaleva

The interaction between the fractional order parameter and the damping parameter can play a relevant role for introducing different dynamical behaviors in a physical system. Here, we study the Duffing oscillator with a fractional damping…

Chaotic Dynamics · Physics 2024-03-18 Mattia Coccolo , Jesús M. Seoane , Miguel A. F. Sanjuán

We analyze the dynamics of two atoms with a short-ranged pair interaction in a one-dimensional harmonic trap with time-dependent frequency. Our analysis is focused on two representative cases: (i) a sudden change of the trapping frequency…

Quantum Gases · Physics 2019-07-15 M. Ebert , A. Volosniev , H. -W. Hammer

We show that multiplexing allows to control noise-induced dynamics of multilayer networks in the regime of stochastic resonance. We illustrate this effect on an example of two- and multi-layer networks of bistable overdamped oscillators. In…

Adaptation and Self-Organizing Systems · Physics 2023-01-04 Vladimir V. Semenov , Anna Zakharova

The occurrence of stochastic resonance in bistable systems undergoing anomalous diffusions, which arise from density-dependent fluctuations, is investigated with emphasis on the analytical formulation of the problem as well as a possible…

Statistical Mechanics · Physics 2021-03-16 F. Naha Nzoupe , Alain M. Dikande
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