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1 Second-order components depend on nonlinear dynamics.
2 aking it difficult to explicitly demonstrate nonlinear dynamics.
3 n and its phase diagram of NONs coupled with nonlinear dynamics.
4 into the interplay between non-Hermitian and nonlinear dynamics.
5 due to their complex rate laws and resulting nonlinear dynamics.
6 ics between topological phases of matter and nonlinear dynamics.
7 patterns through connectivity structure and nonlinear dynamics.
8 on contained in whole EEG signals, including nonlinear dynamics.
9 ng temporal fluctuations in populations with nonlinear dynamics.
10 rticularly of fisheries systems that exhibit nonlinear dynamics.
11 ee methods for ecological systems with noisy nonlinear dynamics.
12 density and additional methods derived from nonlinear dynamics.
13 antly different to the real data, suggesting nonlinear dynamics.
14 , non-stationary, low-dimensional and having nonlinear dynamics.
15 arlo implementation of a Bayesian filter for nonlinear dynamics.
18 linear dynamics, we show that single-species nonlinear dynamics alone, both in the presence and absen
19 significant role for the low-order truncated nonlinear dynamics alone; turbulent backscatter onto the
20 chieves flexible inference in simulations of nonlinear dynamics and across neural datasets representi
21 pathogen populations often exhibit complex, nonlinear dynamics and are structured by multiple factor
24 n example, we describe conceptual tools from nonlinear dynamics and chemical engineering that make te
26 ime models reveal typical characteristics of nonlinear dynamics and even deterministic chaos, a very
27 suggests that reward prediction errors obey nonlinear dynamics and exhibit negativity biases, result
28 n ecology is the relative impact of internal nonlinear dynamics and external perturbations on the lon
29 that networks of interacting species exhibit nonlinear dynamics and feedback loops that can produce s
33 illations in population size due to inherent nonlinear dynamics and overcrowding were as important or
35 hlight a path for utilizing quadratic cavity nonlinear dynamics and solitons for molecular sensing be
37 articulated integration of three tools from nonlinear dynamics and statistics: phase-space reconstru
39 he pump pulse energy and gas pressure on the nonlinear dynamics and their direct impact on SC generat
41 d software solutions, such as Progenesis QI (Nonlinear Dynamics); and, finally, performing metabolite
42 three of these bands), and measures based on nonlinear dynamics (approximate entropy [ApEn], a measur
47 ce against noisy data and in the presence of nonlinear dynamics, as they arise in power grid and brai
50 n this observation, we show that microscopic nonlinear dynamics can be counteracted or masked by four
51 ng aspects of brain dynamics are considered: nonlinear dynamics (chaos), phase transitions, and criti
52 environmental transmission to drive complex, nonlinear dynamics during infectious disease outbreaks.
56 heless, both of them predict that the highly nonlinear dynamics exhibited by genetic regulatory syste
57 s a machine learning framework that exploits nonlinear dynamics, exhibiting significant computational
58 sics, representing a paradigmatic example of nonlinear dynamics far from thermodynamic equilibrium.
59 re are no data exhibiting the whole range of nonlinear dynamics for single-species systems without tr
60 e for biological systems with stochastic and nonlinear dynamics, for which the likelihood functions a
61 servoir is introduced that combines both the nonlinear dynamics from bilinear springs and nonlinear s
63 ounced effect the waveguide width has on the nonlinear dynamics governing the supercontinua is system
64 ng neurobiology has been rather limited.Yet, nonlinear dynamics has become a practical tool for analy
68 we leveraged hybrid sparse identification of nonlinear dynamics (Hybrid-SINDy), an equation-free data
69 This test is used to show highly significant nonlinear dynamics in a stable canine model of ventricul
72 at oscillations in reaction networks require nonlinear dynamics in that at least one rate law is a no
74 des a paradigm of reconstructing complex and nonlinear dynamics in the situation where training data
75 We identify an unusual regime of ultrafast nonlinear dynamics in which an optical shock wave couple
76 hat the normal heartbeat may display complex nonlinear dynamics, including deterministic chaos, and t
77 tical study of population and metapopulation nonlinear dynamics, including population extinction, and
83 and mechanical logic, wherein concepts from nonlinear dynamics may be used to create intricate, tail
84 by irregular spiking could support flexible nonlinear dynamics needed for general-purpose computatio
85 acking for a causal effect of climate or the nonlinear dynamics needed to demonstrate regime shifts.
86 of important trade-offs between the internal nonlinear dynamics, network topology, and uncertainty in
87 Thus our findings indicate changes in the nonlinear dynamics of a fast-gain control in diabetic pa
90 s are emergent properties resulting from the nonlinear dynamics of accumulating, random genetic mutat
91 covariation reflects in part the structured, nonlinear dynamics of an underlying arousal-related proc
92 ill serve as a starting point to explore the nonlinear dynamics of atrial cells and will yield insigh
93 ests decentralized strategies to control the nonlinear dynamics of biological systems(8,18-22), soft
94 , the concepts of hodotopic organization and nonlinear dynamics of brain neural networks), Llewellyn
97 eymoon period' outbreaks are a result of the nonlinear dynamics of epidemics (Mclean et al., Epidemio
99 ir computing has recently emerged, where the nonlinear dynamics of high-dimensional and fixed physica
101 his question by mathematically analyzing the nonlinear dynamics of learning in deep linear networks.
103 at it recovers a linear approximation to the nonlinear dynamics of more biophysically realistic simul
104 e prove that under very weak assumption, the nonlinear dynamics of multi-phenotypic proportions in ou
105 rn laser systems, mostly originated from the nonlinear dynamics of radiation, makes control of their
109 aptured by a simple model for the stochastic nonlinear dynamics of the cells, which reveals generic f
110 a predictive model and capture the transient nonlinear dynamics of the magnet during operation, leadi
111 ls, reaction times and performance depend on nonlinear dynamics of the network, and we confront the m
113 tributes a system-level model describing the nonlinear dynamics of the phage T4 injection machinery i
114 polymorphisms in closely related species and nonlinear dynamics of the ratio of two random variables.
116 RP resonances encode information on the nonlinear dynamics of the system, and an approach for es
117 , based upon a model capturing the intrinsic nonlinear dynamics of the system, reveals some effects o
118 amic changes are explainable by the internal nonlinear dynamics of the system, tuned by demographic c
119 r radiation, and precipitation together, but nonlinear dynamics of these four climatic factors have n
120 harp features on surfaces, by exploiting the nonlinear dynamics of uniformly ion-bombarded surfaces.
121 sms remain poorly understood, we discuss how nonlinear dynamics of various positive affects, heavily
122 active feedback control in complex systems, nonlinear dynamics offers a means to generate desired lo
123 igh-power lasers exhibit a rich diversity of nonlinear dynamics, often featuring nontrivial co-existe
125 ther solutions can describe such dissipative nonlinear dynamics, our results may impact the interpret
127 ed via several classical routes described by nonlinear dynamics: period-doubling, quasiperiodicity, o
131 l tunability of the generated pulses through nonlinear dynamics rather than the conventional use of a
135 algorithm based on sparse identification of nonlinear dynamics (SINDy) to reconstruct hypergraphs an
136 arning, such as the sparse identification of nonlinear dynamics (SINDy), have shown promise for creat
138 first step towards analyzing its linear and nonlinear dynamics, stability properties, as well as its
139 recover features characteristic of strongly nonlinear dynamics (such as intermittency and rare event
141 mber of resonator modes leads to complicated nonlinear dynamics that are far from fully understood.
142 ed by VIIIth nerve vestibular afferents with nonlinear dynamics that differ markedly from those predi
144 s oscillators contain complex feedbacks with nonlinear dynamics that enable spontaneous oscillations.
145 Arnold-Moser (KAM) theorem--a cornerstone of nonlinear dynamics that explains, for example, gaps in t
146 rol of networks governed by a broad class of nonlinear dynamics that includes the major dynamic model
147 vel methods based on statistical physics and nonlinear dynamics, the interactive display and characte
148 sufficient condition, expressed in terms of nonlinear dynamics, the Laplacian eigenvalues of the nom
150 s focused on one of the following two areas: nonlinear dynamics through time without an explicit cons
153 Physical reservoir computing leverages these nonlinear dynamics to produce complex input-output mappi
156 These features collectively conveyed highly nonlinear dynamics to this network, generating excitatio
159 increased fluctuations by changing intrinsic nonlinear dynamics, we show that single-species nonlinea
161 cillatory processes requires the language of nonlinear dynamics, well beyond the linearization techni
163 important consequences in the broad field of nonlinear dynamics where dimension and Lyapunov exponent
165 roadening relies upon intense soliton-plasma nonlinear dynamics which leads to efficient soliton self
166 served in the healthy subjects to underlying nonlinear dynamics, which seem to be essential to normal
169 Together, these results demonstrate that the nonlinear dynamics within retinotopic maps can shape cor
170 ns of the Weak form Sparse Identification of Nonlinear Dynamics (WSINDy) method to select the best-fi