We simulate the nonequilibrium ensemble dynamics of a biomolecule using weighted method, which was introduced in molecular simulations by Huber and Kim further developed Zuckerman co-workers. As order parameters to characterize its conformational change, we here use coordinates derived from diffusion map (DM) one manifold learning techniques. concrete example, study kinetic properties small peptide, chignolin explicit water, calculate change between folded misfolded states way. find that...

Dripping water from a faucet is typical example exhibiting rich nonlinear phenomena. For such system, the time stamps at which drops separate can be directly observed in real experiments, and series of intervals \tau_n between drop separations becomes subject analysis. Even if mass m_n onset n-th separation, cannot directly, exhibits perfectly deterministic dynamics, it sometimes fails to obtain important information \tau_n. This because return plot \tau_n-1 vs. may become multi-valued...

We investigate the entrainment of a neuron model exhibiting chaotic spiking-bursting behavior in response to weak periodic force. This exhibits two types oscillations with different characteristic time scales, namely, long and short scales. Several phase synchronization are observed, such as $1:1$ locking between single spike one period force $1:l$ slow oscillation underlying bursts $l$ periods Moreover, firing patterns can be synchronized Such type is detected from position set points on...

Population preferences for video advertisements vary across short clips. What underlies these differences? Repeatedly watching a clip may produce consistent spatiotemporal pattern of neural activity that is dependent on the individual and stimulus. Moreover, such consistency be associated with degree engagement memory viewers. Since population are viewers, observed in smaller group viewers can predictor preferences. To test hypothesis, we measured inter-trial participants'...

Falls that occur during walking are a significant problem from the viewpoints of both medicine and robotics engineering. It is very important to predict falls in order prevent or minimize ensuing damage them. In this study, we investigate structure escape-times falling passive dynamic biped walker on slope 2D plane with irregularities. We find lies manifold high nonlinearity state space cannot be analyzed by linear methods under assumption Gaussian distribution. Therefore, first apply an...

A unified framework for analyzing generalized synchronization in coupled chaotic systems from data is proposed.The key of the proposed approach use kernel methods recently developed field machine learning.Several successful applications are presented, which show capability kernel-based detecting synchronization, and dynamical change coupling strength between two can be captured by approach.It also discussed how parameter suitably chosen data.

Abstract It is an open question as to whether macroscopic human brain responses repeatedly presented external inputs show consistent patterns across trials. We here provide experimental evidence that noisy time-varying visual inputs, measured by scalp electroencephalography (EEG), a signature of consistency. The results indicate the EEG-recorded are robust against fluctuating ongoing activity, and they respond stimuli in repeatable manner. This consistency presumably mediates information...

We study the dynamics of a pair two uncoupled identical type-I intermittent chaotic systems driven by common random forcing. first observe that degree fluctuation local expansion rate orbits to perturbations single system as function noise intensity shows convex curve and takes its maximum value at certain intensity, whereas Liapunov exponent itself monotonically increases in this range. Furthermore, it is numerically demonstrated nontrivial enhancement causes with different initial...

We propose a new statistical law of on-offintermittency just after its onset in connection with the self-similarity dynamics which holds time region shorter than correlation time. It is found that coarse-grained variable averaged over less takes certain similarity form probability density near intermittency. shown present statistics for several different systems, suggests existence universality associated on-offintermittency.

We study the dynamics of a reaction-diffusion system comprising two mutually coupled excitable fibers. consider case in which dynamical properties fibers are nonidentical due to parameter mismatch between them. By using spatially one-dimensional FitzHugh-Nagumo equations as model single fiber, synchronized pulses found be stable some regime. Furthermore, there exists critical coupling strength beyond for any amount mismatch. show bifurcation structures and solitary identify codimension-2...

This paper presents a new three dimensional (3D) kinematic model based on mode shape functions (MSF) for multisection continuum arms. It solves the singularity problems associated with previous models and introduces novel approach intuitively deriving exact, singularity-free MSFs, thus avoiding switching schemes simplifying error models. The is able to simulate spatial bending, pure elongation/contraction, inverse orientation kinematics first time Also, it carefully accounts physical...

This study focuses on the predictability of EEG signals using reservoir computing (RC) and examines individuality through patterns prediction accuracy.In particular, we demonstrate that by analyzing trend errors technigues manifold learning, characteristics reflecting can be visualized in a lowdimensional space.

Synergy is a key concept for understanding smooth and dexterous body movements generated in biological systems. In this paper, we propose an approach based on canonical correlation analysis (CCA) identifying synergies that capture coherences organized between motor activations sensory signals movements. Using musculoskeletal planar arm model with muscle joint redundancies, show identified by CCA give more natural tractable activation patterns virtual controller space lower dimensionality...

For a two-dimensional piecewise linear map with riddled basin, multifractal spectrum f(gamma), which characterizes the "skeletons" of is introduced. With uncertainty exponent obtained by variational principle, enables us to introduce concept "boundary" for basin. A conjecture on relation between f(gamma) and "stable sets" various ergodic measures, coexist natural invariant measure chaotic attractor, also proposed. (c) 2001 American Institute Physics.

Disturbance rejection is one of the most important abilities required for biped walkers. In this study, we propose a method dynamic programming walking and apply it to simple passive walker (PDW) on an irregular slope. The key proposed approach employ transient dynamics just before approaching falling state in absence any controlling input, derive optimal control policy low-dimensional latent space. recent our found that such deeply relates basin attraction stable gait. By patching...

We apply the non-Markov-type analysis of state-to-state transitions to nearly microsecond molecular dynamics (MD) simulation data at a folding temperature small artificial protein, chignolin, and we found that time scales obtained are consistent with our previous result using weighted ensemble simulations, which is general path-sampling method extract kinetic properties molecules. Previously, also applied diffusion map (DM) analysis, one manifold learning techniques, same trajectory...

We study the dynamics of a reaction–diffusion system composed two mutually coupled excitable fibers. focus on situation in which dynamical properties fibers are not identical because parameter difference between Using spatially one-dimensional FitzHugh–Nagumo equations as model single fiber, we show that exhibits rich variety behavior, including soliton-like collision pulses and recombination solitary pulse synchronized pulses.

The large deviation property of on-off intermittency is investigated by introducing a two-dimensional piecewise linear map, which can be mapped to an infinite Markov chain. It shown that nonanalyticity, in the q-weighted average portion time spent burst state, appears as second-order phase transition for interval control parameter with bifurcation point its end point.