I reproduced this problem on 4 node cluster from percona1-4. PXC 5.5.37 with wsrep 2.10(r175).
I introduced bad network with loss/delay on percona1

1) After sometime cluster started malfunctioning all nodes went into wsrep_local_state_comment = Initialized and wsrep_cluster_status = non-Primary

2) I made percona2 as primary, all other nodes are into the cluster and percona1 (having network issues) still trying to connect and eventually entire cluster went down. wsrep stopped working & i have to issue kill -9 on all nodes to bring cluster up again.

[root@percona2 ~]# mysql
mysql> show status like 'wsrep%';
+----------------------------+--------------------------------------+
| Variable_name              | Value                                |
+----------------------------+--------------------------------------+
| wsrep_local_state_uuid     | 9f581f39-eb03-11e3-8eb4-97664aaec97d |
| wsrep_protocol_version     | 4                                    |
| wsrep_last_committed       | 0                                    |
| wsrep_replicated           | 0                                    |
| wsrep_replicated_bytes     | 0                                    |
| wsrep_received             | 151                                  |
| wsrep_received_bytes       | 34204                                |
| wsrep_local_commits        | 0                                    |
| wsrep_local_cert_failures  | 0                                    |
| wsrep_local_replays        | 0                                    |
| wsrep_local_send_queue     | 0                                    |
| wsrep_local_send_queue_avg | 0.000000                             |
| wsrep_local_recv_queue     | 0                                    |
| wsrep_local_recv_queue_avg | 0.000000                             |
| wsrep_flow_control_paused  | 0.000000                             |
| wsrep_flow_control_sent    | 0                                    |
| wsrep_flow_control_recv    | 0                                    |
| wsrep_cert_deps_distance   | 0.000000                             |
| wsrep_apply_oooe           | 0.000000                             |
| wsrep_apply_oool           | 0.000000                             |
| wsrep_apply_window         | 0.000000                             |
| wsrep_commit_oooe          | 0.000000                             |
| wsrep_commit_oool          | 0.000000                             |
| wsrep_commit_window        | 0.000000                             |
| wsrep_local_state          | 0                                    |
| wsrep_local_state_comment  | Initialized                          |
| wsrep_cert_index_size      | 0                                    |
| wsrep_causal_reads         | 0                                    |
| wsrep_incoming_addresses   |                                      |
| wsrep_cluster_conf_id      | 18446744073709551615                 |
| wsrep_cluster_size         | 0                                    |
| wsrep_cluster_state_uuid   | 9f581f39-eb03-11e3-8eb4-97664aaec97d |
| wsrep_cluster_status       | non-Primary                          |
| wsrep_connected            | ON                                   |
| wsrep_local_bf_aborts      | 0                                    |
| wsrep_local_index          | 18446744073709551615                 |
| wsrep_provider_name        | Galera                               |
| wsrep_provider_vendor      | Codership Oy <email address hidden>    |
| wsrep_provider_version     | 2.10(r175)                           |
| wsrep_ready                | OFF                                  |
+----------------------------+--------------------------------------+

mysql> select 1;
ERROR 1047 (08S01): Unknown command

[root@percona2 ~]# tail -f /var/log/mysqld.log
140605 10:08:25 [ERROR] WSREP: exception from gcomm, backend must be restarted:8f61539e-ec8c-11e3-ae76-6b64399ac83dInstall message self state does not match, message state: prim=0,un=0,last_seq=2,last_prim=view_id(PRIM,8f61539e-ec8c-11e3-ae76-6b64399ac83d,1165),to_seq=445,weight=1, local state: prim=0,un=1,last_seq=2,last_prim=view_id(PRIM,8f61539e-ec8c-11e3-ae76-6b64399ac83d,1165),to_seq=445,weight=1 (FATAL)
         at gcomm/src/pc_proto.cpp:handle_install():1047
140605 10:08:25 [Note] WSREP: Received self-leave message.
140605 10:08:25 [Note] WSREP: Flow-control interval: [0, 0]
140605 10:08:25 [Note] WSREP: Received SELF-LEAVE. Closing connection.
140605 10:08:25 [Note] WSREP: Shifting OPEN -> CLOSED (TO: 0)
140605 10:08:25 [Note] WSREP: RECV thread exiting 0: Success
140605 10:08:25 [Note] WSREP: New cluster view: global state: 9f581f39-eb03-11e3-8eb4-97664aaec97d:0, view# -1: non-Primary, number of nodes: 0, my index: -1, protocol version 2
140605 10:08:25 [Note] WSREP: wsrep_notify_cmd is not defined, skipping notification.
140605 10:08:25 [Note] WSREP: applier thread exiting (code:0)