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Structurally Unstable Quadratic Vector Fields of Codimension Two: Families Possessing One Finite Saddle-Node and a Separatrix Connection
This paper is part of a series of works whose ultimate goal is the complete classification of phase portraits of quadratic differential systems in...
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Integrability and limit cycles for a class of multi-parameter differential systems with unstable node point
We exhibit a class of non-linear planar polynomial differential systems. We show that this class has a first integral and we give the explicit...
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Classification of unstable quartic plane curves
Consider the action by change of coordinates in the space of quartic plane curves. We classify the unstable points of this action through a...
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Spectral Decompositions of Gramians and Energy Metrics of Continuous Unstable Control Systems
AbstractDeterministic continuous finite-dimensional stationary linear dynamic control systems with many inputs and many outputs are considered....
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Epidemic Spreading on Complex Networks as Front Propagation into an Unstable State
We study epidemic arrival times in meta-population disease models through the lens of front propagation into unstable states. We demonstrate that...
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Predicting Claim Reserves When the Loss Development Factors are Unstable: A Case Study from Indonesia’s General Insurance Company
The general insurance companies are required to calculate the claim reserves periodically, on an annual, quarter, or monthly basis. We observed that...
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Unisolvence of Symmetric Node Patterns for Polynomial Spaces on the Simplex
Finite elements with polynomial basis functions on the simplex with a symmetric distribution of nodes should have a unique polynomial representation....
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Node-Consistent Core in DGPETs
This chapter deals with the node consistency of the core in cooperative dynamic games played over event trees. Being a set-valued solution, the core...
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Carryover of a Saddle-Node Bifurcation After Transforming a Parameter into a Variable
In this article, we introduce and study the carryover of a saddle-node bifurcation, a concept that describes how a saddle-node bifurcation of a...
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Bifurcations and Synchronization in Networks of Unstable Reaction–Diffusion Systems
This article is devoted to the analysis of the dynamics of a complex network of unstable reaction–diffusion systems. We demonstrate the existence of...
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Global planar dynamics with a star node and contracting nonlinearity
This is a complete study of the dynamics of polynomial planar vector fields whose linear part is a multiple of the identity and whose nonlinear part...
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Stoichiometry and environmental change drive dynamical complexity and unpredictable switches in an intraguild predation model
We incorporate stoichiometry (the balance of key elements) into an intraguild predation (IGP) model. Theoretical and numerical results show that our...
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Structurally Unstable Quadratic Vector Fields of Codimension Two: Families Possessing Either a Cusp Point or Two Finite Saddle-Nodes
The goal of this paper is to contribute to the classification of the phase portraits of planar quadratic differential systems according to their...
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Substrate inhibition can produce coexistence and limit cycles in the chemostat model with allelopathy
In this work, we consider a model of two microbial species in a chemostat in which one of the competitors can produce a toxin (allelopathic agent)...
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A Comprehensive Study of Bifurcations in an Interactive Population Model with Food-Limited Growth
In a two-dimensional prey–predator model with a Holling type-II functional response and a food-limited prey growth rate, this study explores the...
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Prey group defense and hunting cooperation among generalist-predators induce complex dynamics: a mathematical study
Group defense in prey and hunting cooperation in predators are two important ecological phenomena and can occur concurrently. In this article, we...
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Local and Global Bifurcations in a Mechanochemical ODE Model for Cell Behavior
We study the dynamics of a two-variable mechanochemical model for GTPase signaling and cell tension using numerical bifurcation analysis, providing...
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Development of Energy Efficient Routing Protocol for Lifespan Optimization in Wireless Sensor Networks (EERP)
Sensor node energy is restricted in wireless sensor networks under most circumstances. Some methods have been designed to increase sensor node energy...
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Robustly assigning unstable items
We study the robust assignment problem where the goal is to assign items of various types to containers without exceeding container capacity. We seek...
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On the Accuracy of Finite-Difference Schemes in Calculations of Centered Rarefaction Waves
AbstractA comparative accuracy analysis of three finite-difference schemes (the first order UpWind (UW), the second order TVD, and the third order in...
