We extend Lin’s method for use in the setting of parameter-dependent nonlinear functional differential equations of mixed type (MFDEs). We show that the presence of M -homoclinic and M -periodic solutions that bifurcate from a prescribed homoclinic connection can be detected by studying a finite dimensional bifurcation equation. As an application, we describe the codimension two orbit-flip bifu...

The dynamics of the classic planar two-species Lotka-Volterra predator-prey model are well understood. We introduce a scavenger species, who scavenges the predator and is also a predator of the common prey. For this model, we analytically prove that all trajectories are bounded in forward time, and numerically demonstrate persistent bounded paired cascades of period-doubling orbits over a wide ...

The authors tested 18 younger adults and 18 older adults on four sessions in a psychological refractory period (PRP) paradigm, to see whether older adults can benefit as much from dual-task practice as younger adults. Task 1 involved tone discrimination and Task 2 involved simultaneous letter-matching. The stimulus onset asynchrony (SOA) between the tasks was either 50, 150, 300, or 900 ms. Alt...

For two-person, zero-sum games where the probability of each player winning is a continuous function of time and is known to both players, the mutually optimal strategy for proposing and accepting a doubling of the game value is known. We present an algorithm for deriving the optimal doubling strategy of a player who is aware of the sub-optimal strategy followed by the opponent. We also present...

Uniformity testing and the more general identity testing are well studied problems in distributional property testing. Most previous work focuses on testing under L1-distance. However, when the support is very large or even continuous, testing under L1-distance may require a huge (even infinite) number of samples. Motivated by such issues, we consider the identity testing in Wasserstein distanc...

Categorical choices are preceded by the accumulation of sensory evidence in favor of one action or another. Current models describe evidence accumulation as a continuous process occurring at a constant rate, but this view is inconsistent with accounts of a psychological refractory period during sequential information processing. During multisample perceptual categorization, we found that the ne...

Let M= { f (z)= (zm/sinhm z) for z ∈ C | either m or m/2 is an odd natural number}. For each f ∈M, the set of singularities of the inverse function of f is an unbounded subset of the real line R. In this paper, the iteration of functions in oneparameter family S = { fλ(z)= λ f (z) | λ ∈ R \ {0}} is investigated for each f ∈M. It is shown that, for each f ∈M, there is a critical parameter λ > 0 ...

The dynamical behavior of an SIS epidemic model with birth pulses and pulse treatments at different moments is discussed by means of both theoretical and numerical ways. Birth pulse, vertical transmission, and pulse treatment are considered in building model. The existence and stability of the trivial solution, infection-free periodic solution, and epidemic periodic solutions are investigated. ...

Introduction and Review 2 1. Period domains and monodromy 4 2. Elliptic curves 8 3. Period mappings: an example 12 3.1. Asymptotics of the period map 14 4. Hodge structures of weight one 15 5. Hodge structures of weight two 18 6. Poincaré residues 20 7. Properties of the period mapping 24 8. The Jacobian ideal and the local Torelli theorem 25 9. The Horizontal Distribution Distance Decreasing P...

ABSTRACT In this study, bifurcation and complex phenomena in synchronizing chaotic oscillators coupled by a lossless transmission line are investigated. The period-doubling bifurcation with varying the time delay is observed in our circuit model. Further the voltage distribution of transmission line is simulated in order to investigate whether the current flowing through the transmission line i...