New Solutions to the Firing Squad Synchronization Problems for Neural and Hyperdag P Systems

We propose two uniform solutions to an open question: the Firing Squad Synchronization Problem (FSSP), for hyperdag and symmetric neural P systems, with anonymous cells. Our solutions take e_c+5 and 6e_c+7 steps, respectively, where e_c is the eccentricity of the commander cell of the dag or digraph underlying these P systems. The first and fast solution is based on a novel proposal, which dynamically extends P systems with mobile channels. The second solution is substantially longer, but is solely based on classical rules and static channels. In contrast to the previous solutions, which work for tree-based P systems, our solutions synchronize to any subset of the underlying digraph; and do not require membrane polarizations or conditional rules, but require states, as typically used in hyperdag and neural P systems

Turning Futexes Inside-Out: Efficient and Deterministic User Space Synchronization Primitives for Real-Time Systems with IPCP

In Linux and other operating systems, futexes (fast user space mutexes) are the underlying synchronization primitives to implement POSIX synchronization mechanisms, such as blocking mutexes, condition variables, and semaphores. Futexes allow one to implement mutexes with excellent performance by avoiding system calls in the fast path. However, futexes are fundamentally limited to synchronization mechanisms that are expressible as atomic operations on 32-bit variables. At operating system kernel level, futex implementations require complex mechanisms to look up internal wait queues making them susceptible to determinism issues. In this paper, we present an alternative design for futexes by completely moving the complexity of wait queue management from the operating system kernel into user space, i. e. we turn futexes "inside out". The enabling mechanisms for "inside-out futexes" are an efficient implementation of the immediate priority ceiling protocol (IPCP) to achieve non-preemptive critical sections in user space, spinlocks for mutual exclusion, and interwoven services to suspend or wake up threads. The design allows us to implement common thread synchronization mechanisms in user space and to move determinism concerns out of the kernel while keeping the performance properties of futexes. The presented approach is suitable for multi-processor real-time systems with partitioned fixed-priority (P-FP) scheduling on each processor. We evaluate the approach with an implementation for mutexes and condition variables in a real-time operating system (RTOS). Experimental results on 32-bit ARM platforms show that the approach is feasible, and overheads are driven by low-level synchronization primitives

The Parallel Persistent Memory Model

We consider a parallel computational model that consists of $P$ processors, each with a fast local ephemeral memory of limited size, and sharing a large persistent memory. The model allows for each processor to fault with bounded probability, and possibly restart. On faulting all processor state and local ephemeral memory are lost, but the persistent memory remains. This model is motivated by upcoming non-volatile memories that are as fast as existing random access memory, are accessible at the granularity of cache lines, and have the capability of surviving power outages. It is further motivated by the observation that in large parallel systems, failure of processors and their caches is not unusual. Within the model we develop a framework for developing locality efficient parallel algorithms that are resilient to failures. There are several challenges, including the need to recover from failures, the desire to do this in an asynchronous setting (i.e., not blocking other processors when one fails), and the need for synchronization primitives that are robust to failures. We describe approaches to solve these challenges based on breaking computations into what we call capsules, which have certain properties, and developing a work-stealing scheduler that functions properly within the context of failures. The scheduler guarantees a time bound of $O(W/P_A + D(P/P_A) \lceil\log_{1/f} W\rceil)$ in expectation, where $W$ and $D$ are the work and depth of the computation (in the absence of failures), $P_A$ is the average number of processors available during the computation, and $f \le 1/2$ is the probability that a capsule fails. Within the model and using the proposed methods, we develop efficient algorithms for parallel sorting and other primitives.Comment: This paper is the full version of a paper at SPAA 2018 with the same nam

Complex partial synchronization patterns in networks of delay-coupled neurons

We study the spatio-temporal dynamics of a multiplex network of delay-coupled FitzHugh–Nagumo oscillators with non-local and fractal connectivities. Apart from chimera states, a new regime of coexistence of slow and fast oscillations is found. An analytical explanation for the emergence of such coexisting partial synchronization patterns is given. Furthermore, we propose a control scheme for the number of fast and slow neurons in each layer.DFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzept

Slower Speed and Stronger Coupling: Adaptive Mechanisms of Self-Organized Chaos Synchronization

We show that two initially weakly coupled chaotic systems can achieve self-organized synchronization by adaptively reducing their speed and/or enhancing the coupling strength. Explicit adaptive algorithms for speed-reduction and coupling-enhancement are provided. We apply these algorithms to the self-organized synchronization of two coupled Lorenz systems. It is found that after a long-time self-organized process, the two coupled chaotic systems can achieve synchronization with almost minimum required coupling-speed ratio.Comment: 4 pages, 5 figure